Questions tagged [taylor-expansion]
The taylor-expansion tag has no usage guidance.
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Approximation of Periodic Parabolic Function by Fourier Series!
I've just tried to approximate the periodic-parabolic signal by Fourier Series. I know, this sounds a bit strange. I am just trying to figure out relationship between Fourier Series and Taylor ...
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CORDIC-Taylor-DDS algorithms
DDS algorithm is really nice algorithm for creating sinus signal. It is really useful for signal resolution and use of LUT.
CORDIC uses LUT and numerical methods. But I don't get high resolution ...
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Taylor series expansion in mean shift tracking
I am trying to understand the first order Taylor series expansion when deriving the math behind mean shift tracking. Given the Battacharya coefficient between the target descriptor and candidate ...
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Taylor series approximation in Harris corner detection
While watching through the computer vision lecture on interest point detection, computing $E(u,v)$ requires computing the quantity
$$E(u,v) = \sum_{x,y}(I(x+u,y+v) - I(x,y))^2$$
In the lecture, $I(x+u,...
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What are the advantages of higher order Kalman Filters like EKF, UKF?
Kalman Filter provides the optimal estimate of the states of a stochastic dynamical system if the system is linear, the measurements are also linear functions of states and the errors in system ...
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Is it possible to use a Volterra series to generate subharmonics?
Taylor series can create harmonics of the frequencies in an input signal. I'm wondering if it is likewise possible to use Volterra series to create sub-harmonics of the frequencies in that signal.
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Best way to approximate a curve?
I have a curve like this one:
I need a function to approximate this curve, but I need that the function be a low order function (less than 5). What is a good way to obtain what I expect? Thanks!
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SIFT - Taylor Expansion
I'm trying to implement SIFT algorithm.
After I found the min/max points in DOG images I need to find the real min/max subpixels by taylor exapnsion:
$$
\begin{equation}
D(\mathbf{x}) = D + \frac{\...
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taylor expansion of scale space function
I see the following expression from http://en.wikipedia.org/wiki/Scale-invariant_feature_transform
The quadratic Taylor expansion of the Difference-of-Gaussian scale-space function, with the ...
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